Pertanyaan

Bentuk sederhana dari 2 + 3 + 5 6 + 3 10 adalah ...

Bentuk sederhana dari $\frac{6 + 3 10}{2 + 3 + 5}$ adalah ...

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Klaim

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

$begin mathsize 12px style fraction numerator 6 plus 3 square root of 10 over denominator open parentheses square root of 2 plus square root of 3 close parentheses plus square root of 5 end fraction equals fraction numerator 6 plus 3 square root of 10 over denominator open parentheses square root of 2 plus square root of 3 close parentheses plus square root of 5 end fraction space. space fraction numerator open parentheses square root of 2 plus square root of 3 close parentheses minus square root of 5 over denominator open parentheses square root of 2 plus square root of 3 close parentheses minus square root of 5 end fraction equals fraction numerator open parentheses 6 plus 3 square root of 10 close parentheses open parentheses open parentheses square root of 2 plus square root of 3 close parentheses minus square root of 5 close parentheses over denominator open parentheses square root of 2 plus square root of 3 close parentheses squared minus 5 end fraction equals space fraction numerator 6 square root of 2 plus 6 square root of 3 minus 6 square root of 5 plus 3 square root of 20 plus 3 square root of 30 minus 3 square root of 50 over denominator 5 plus 2 square root of 6 minus 5 end fraction equals fraction numerator 6 square root of 2 plus 6 square root of 3 minus 6 square root of 5 plus 6 square root of 5 plus 3 square root of 30 minus 15 square root of 2 over denominator 2 square root of 6 end fraction equals fraction numerator negative 9 square root of 2 plus 6 square root of 3 plus 3 square root of 30 over denominator 2 square root of 6 end fraction space. space fraction numerator square root of 6 over denominator square root of 6 end fraction equals fraction numerator negative 9 square root of 12 plus 6 square root of 18 plus 3 square root of 180 over denominator 12 end fraction equals fraction numerator negative 18 square root of 3 plus 18 square root of 2 plus 18 square root of 5 over denominator 12 end fraction equals fraction numerator negative 6 square root of 3 plus 6 square root of 2 plus 6 square root of 5 over denominator 4 end fraction equals fraction numerator negative 3 square root of 3 plus 3 square root of 2 plus 3 square root of 5 over denominator 2 end fraction equals 3 over 2 open parentheses square root of 2 plus square root of 5 minus square root of 3 close parentheses end style$